Fixing the functoriality of Khovanov homology: A simple approach
Fixing the functoriality of Khovanov homology: A simple approach
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修复 Khovanov 同调的函子性：一种简单的方法
DOI：
10.1142/s0218216521500747
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发表时间：
2021
影响因子：
0.5
通讯作者：
Sano Taketo
中科院分区：
文献类型：
--
作者：
近藤里沙子;堀川祥生;安藤恵介;吉田 誠;Sano Taketo
霍瓦诺夫同调对于链接配边而言是函数式的。几位作者通过在概念上和代数上扩展原始理论，解决了符号不确定性问题。在本文中，我们提出了一种替代方法：我们保留经典设置并通过简单地调整与雷德迈斯特移动和莫尔斯移动相关的态射的符号来修复函子性。
Khovanov homology is functorial up to sign with respect to link cobordisms. The sign indeterminacy has been fixed by several authors, by extending the original theory both conceptually and algebraically. In this paper, we propose an alternative approach: we stay in the classical setup and fix the functoriality by simply adjusting the signs of the morphisms associated to the Reidemeister moves and the Morse moves.